Multiple choice

Quantity I- When a motorboat travels in upstream then its speed become 37.5% of the speed of the motorboat in still water .The speed of the stream is how much percentage of the speed of the motorboat in still water? Quantity II- When a sum of money was invested at simple interest then at the end of 20 years the amount becomes 1350% of the sum of money. What is the rate of interest?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: Let boat speed = B, stream speed = S. Upstream speed = B - S = 37.5% of B = 0.375B. Solving: S = B - 0.375B = 0.625B, so stream speed is 62.5% of boat speed. Quantity II: Simple interest for 20 years makes amount 1350% of principal. Amount = P(1 + 20R/100) = 13.5P. Solving: 1 + R/5 = 13.5, R = 62.5%. Both quantities equal 62.5%, so Quantity I = Quantity II.

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